Small ditrigonary hecatonicosihecatonicosihecatonicosachoron

Small ditrigonary hecatonicosihecatonicosihecatonicosachoron
Rank	4
Type	Uniform
Notation
Bowers style acronym	Sidthihihy
Elements
Cells	120 gidditdid, 120 ided, 120 siid
Faces	2400 triangles, 1440 pentagons, 1440 pentagrams, 2400 hexagons, 720 decagrams
Edges	7200
Vertices	1200
Measures (edge length 1)
Circumradius	${\sqrt {3}}\approx 1.73205$
Related polytopes
Army	Rahi
Regiment	Rissidtixhi
Conjugate	Gidthihihy
Abstract & topological properties
Euler characteristic	2040
Orientable	Yes
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild

The small ditrigonary hecatonicosihecatonicosihecatonicosachoron, or sidthihihy, is a nonconvex uniform polychoron that consists of 120 great ditrigonal dodecicosidodecahedra, 120 icosidodecadodecahedra, and 120 small icosicosidodecahedra. Six of each join at each vertex.

Vertex coordinates

Its vertices are the same as those of its regiment colonel, the rectified small ditrigonary hexacosihecatonicosachoron.

External links

• Bowers, Jonathan. "Category 23: Rissidtixhi Regiment" (#1171).